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On Nested Bethe Ansatz for RTT Algebra of o(2n) Type |
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| Authors: | Burdík Čestmír Navrátil Ondřej |
| Institution: | 1.Faculty of Nuclear Sciences and Physical Engineering, CTU, Prague, Czech Republic ;2.Faculty of Transportation Sciences, CTU, Prague, Czech Republic ; |
| Abstract: | We study the highest weight representations of the RTT algebras for the R matrix of o(2n) type by the nested algebraic Bethe ansatz. We show how auxiliary RTT algebra à can be used to find Bethe vectors and Bethe conditions. For special representations, in which representation of RTT algebra à is trivial, the problem was solved by Reshetikhin. |
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